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12643936 = 253759181
BaseRepresentation
bin110000001110…
…111001100000
3212210101012221
4300032321200
511214101221
61131000424
7212320534
oct60167140
925711187
1012643936
117156638
124299114
132809126
141971bc4
15119b541
hexc0ee60

12643936 has 48 divisors (see below), whose sum is σ = 26142480. Its totient is φ = 6013440.

The previous prime is 12643933. The next prime is 12643999. The reversal of 12643936 is 63934621.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12643933) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69766 + ... + 69946.

It is an arithmetic number, because the mean of its divisors is an integer number (544635).

Almost surely, 212643936 is an apocalyptic number.

12643936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12643936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13071240).

12643936 is an abundant number, since it is smaller than the sum of its proper divisors (13498544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12643936 is a wasteful number, since it uses less digits than its factorization.

12643936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 279 counting only the distinct ones).

The product of its digits is 23328, while the sum is 34.

The square root of 12643936 is about 3555.8312670879. The cubic root of 12643936 is about 232.9668332511.

The spelling of 12643936 in words is "twelve million, six hundred forty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 37 59 74 118 148 181 236 296 362 472 592 724 944 1184 1448 1888 2183 2896 4366 5792 6697 8732 10679 13394 17464 21358 26788 34928 42716 53576 69856 85432 107152 170864 214304 341728 395123 790246 1580492 3160984 6321968 12643936